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A Product on Double Cosets of $B_\infty$
Pablo Gonzalez Pagotto Institut Fourier, Université Grenoble Alpes, Grenoble, France
Abstract:
For some infinite-dimensional groups $G$ and suitable subgroups $K$ there exists a monoid structure on the set $K\backslash G/K$ of double cosets of $G$ with respect to $K$. In this paper we show that the group $B_\infty$, of the braids with finitely many crossings on infinitely many strands, admits such a structure.
Keywords:
Braid group; double cosets; Burau representation.
Received: May 28, 2018; in final form December 14, 2018; Published online December 27, 2018
Citation:
Pablo Gonzalez Pagotto, “A Product on Double Cosets of $B_\infty$”, SIGMA, 14 (2018), 134, 18 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1433 https://www.mathnet.ru/eng/sigma/v14/p134
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Abstract page: | 137 | Full-text PDF : | 22 | References: | 16 |
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